Lie Symmetries, Conservation Laws, Optimal System and Similarity Reductions of (2+1)-Dimensional Fractional Hirota-Maccari System
Year: 2025
Author: Jicheng Yu, Yuqiang Feng
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 207–225
Abstract
In this paper, Lie symmetry analysis method is applied to one type of mathematical physics equations named the (2+1)-dimensional fractional Hirota-Maccari system. All Lie symmetries and the corresponding conserved vectors for the system are obtained. The one-dimensional optimal system is utilized to reduce the aimed equations with Riemann-Liouville fractional derivative to the (1+1)-dimensional fractional partial differential equations with Erdélyi-Kober fractional derivative.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n2.6
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 207–225
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Lie symmetry analysis fractional Hirota-Maccari system one-dimensional optimal system conservation laws.